While slowly hacking away at IndieWeb philosophies, one of the big issues I've always hated was using an outside feed reader that wasn't directly integrated into my own site. I've played around a lot with woodwind.xyz which has some great IndieWeb features, but doesn't have the massive developer team behind it that Feedly does.

Recently while doing some alternate research I also came across the WordPress plugin PressForward that was originally designed for journalists and academics, but in short is actually a built-in RSS feed reader that you can self-host as part of your WordPress install. I've been loving its general functionality and also use it somewhat like a self-hosted version of Pocket/InstaPaper as well, so it serves multiple uses. While it may not have everything that Feedly does, it's incredibly functional, and better, it's open on Github with lots of documentation, so you could potentially add the features you want. I've written a bit more about it (including some useful links) here if you'd like to explore it a bit more: http://boffosocko.com/2016/12/31/pressforward-as-an-indieweb-wordpress-based-rss-feed-reader-pocketinstapaper-replacement/

Like both of you, I'm always eager to hear of other options should you come across them.

David, not sure how I'd missed your note originally, but a copy of the webmention just bubbled up for some reason!

I do use Woodwind occasionally; though it was often down or had issues it's been more reliable in the past few weeks/months than it had been in the prior year. I love the fact that I can use its interface to reply and react to posts directly.